Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Question
Chapter 9, Problem 12E
(a)
To determine
The frequency of a photon for gamma-rays.
(b)
To determine
The wavelength of a photon for gamma-rays.
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My question is:
What is the frequency and wavelength of a 50 meV gamma-ray photon?
How do I find it?
An X-ray photon with a wavelength of 0.999 nmnm strikes a surface. The emitted electron has a kinetic energy of 990 eV.
What is the binding energy of the electron in kJ/molkJ/mol? [Note that KEKE = 12mv212mv2 and 1 electron volt (eVeV) = 1.602×10−19J1.602×10−19J.]
Express your answer using three significant figures.
Suppose a star with radius 8.69 x 10° m has a peak wavelength of 684 nm in the spectrum of its emitted radiation.
(a) Find the energy of a photon with this wavelength.
0.029e-17
J/photon
(b) What is the surface temperature of the star?
4274.3
X K
(c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1).
1.9934e17
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each
step carefully. W
(d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star.
X photons/s
Chapter 9 Solutions
Physical Universe
Ch. 9 - Prob. 1MCCh. 9 - Prob. 2MCCh. 9 - Prob. 3MCCh. 9 - Prob. 4MCCh. 9 - Prob. 5MCCh. 9 - Prob. 6MCCh. 9 - Prob. 7MCCh. 9 - Prob. 8MCCh. 9 - Prob. 9MCCh. 9 - Prob. 10MC
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- Suppose a star with radius 8.50 × 108 m has a peak wavelength of 685 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. (b) What is the surface temperature of the star? (c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). (d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star.arrow_forwardGamma rays typically have frequencies above 10 exahertz (or >1019 Hz). What is the corresponding wavelength in units of picometers (pm) of a gamma ray with a 3 * 1019 Hz? (1 pm = 10-12 m)?arrow_forwardWhat is the wavelength (in m) of a 2.06 eV photon? Find its frequency in hertz.arrow_forward
- What is the output power, in watts, of a light source that emits light with a wavelength of 596 nm, and produces 2.95*10^21 photons per second?arrow_forwardA medical researcher is using a chromium-51 source to study red blood cells. The gammaemissionintensity at a distance of 1.0 m is 0.75 mrem/s· m 2 .At what distance would the intensity drop to 0.15 mrem/s· m 2 ?arrow_forwardFind required thickness of the protective lead shield in order to achieve 50% reduction of X-Ray radiation intensity. The mass attenuation coefficient for a radiation source with an energy of 140 keV is μm = 2.32 cm2/g. Density of lead ρ = 11.35 g/cm3.arrow_forward
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- When photons pass through matter, the intensity I of the beam (measured in watts per square meter) decreases exponentially according to I = I0e-μxwhere I is the intensity of the beam that just passed through a thickness x of material and I0 is the intensity of the incident beam. The constant μ is known as the linear absorption coefficient, and its value depends on the absorbing material and the wavelength of the photon beam. This wavelength (or energy) dependence allows us to filter out unwanted wavelengths from a broad-spectrum x-ray beam.(a) Two x-ray beams of wavelengths λ1 and λ2 and equal incident intensities pass through the same metal plate. Show that the ratio of the emergent beam intensities is (I2)/(I1) = e-(μ2 - μ1)x(b) Compute the ratio of intensities emerging from an aluminum plate 1.00 mm thick if the incident beam contains equal intensities of 50 pm and 100 pm x-rays. The values of μ for…arrow_forwardSuppose a star with radius 8.51 108 m has a peak wavelength of 689 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. J/photon(b) What is the surface temperature of the star? K(c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). W(d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star. photons/sarrow_forwardThe linear absorption coefficient of 1 MeV X-rays in water is 7.06 m-1. How many times will the radiation intensity decrease in a 19.6 cm thick water layer?arrow_forward
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